The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 37liters, and standard deviation of 7.8 liters.A) What is the probability that daily production is less than 43.8 liters?Answer=(Round your answer to 4 decimal places.)B) What is the probability that daily production is more than 34.3 liters?Answer=(Round your answer to 4 decimal places.)

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Answered: The mean daily production of a herd of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In a dorm, the weights of the students are normally distributed with mean 175 lbs and standard deviation 16 pounds. What is the probability that a person weighs at least 200 lbs? (round to the nearest thousandth)
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.39. There is 46 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.12. There is 35 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
Assume that adults have IQ scores that are normally distributed with a mean of µ = 100 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 80 and 120.
The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with mean of 20.7 Ibs and a standard deviation of 4.2 Ibs. Find the probability that the population consumes at most 10 lbs yearly? Answer in a complete sentence in context.
The life of light bulbs is distributed normally. the standard deviation of the lifetime is 29 hours and the mean lifetime of a bulb is 590. Find the probability of a bulb lasting for at most 608 hours (round your answer to four decimal places)
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
Malaysian families recorded an average of 17.2 kg of glass garbage each year with the standard deviation of the distribution is 2.5 kg. Using a central limit theorem, compute a probability that the mean of a sample of 55 families will be between 17 kg and 18 kg.
A random variable X forms a normally distributed data set with mean 94.2 and standard deviation 2.41 . Determine the probability that X is at most 94.2. (Express your final answer in 4 decimal places)
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Assume that blood pressure readings are normally distributed with a mean of 122 and a standard deviation of 6.4. If 64 people are randomly selected, find the probability that their mean blood pressure will be less than 124.
The vacation leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. 1. Find the probability that the vacation – leave time of an employee in a month exceeds 180 hours.

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